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Previous GATE
0
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1
GATE201847
A threephase load is connected to a threephase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle  120 ^{\circ} \: V$ ... positive in the anticlockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).
asked
Feb 19, 2018
in
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by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
2
GATE201825
Consider a unity feedback system with forward transfer function given by $G(s) = \frac{1}{(s+1)(s+2)}$ The steadystate error in the output of the system for a unitstep input is _______ (up to $2$ decimal places).
asked
Feb 19, 2018
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Arjun
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5.4k
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gate2018ee
numericalanswers
0
votes
0
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3
GATE201831
A DC voltage source is connected to a series $LC$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the following circular loci represents the plot of $i(t)$ versus $v(t)$?
asked
Feb 19, 2018
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by
Arjun
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5.4k
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gate2018ee
0
votes
0
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4
GATE201813
The value of the integral $\oint _c \frac{z+1}{z^24} dz$ in counter clockwise direction around a circle $C$ of radius $1$ with center at the point $z=2$ is $\frac{\pi i}{2} \\ $ $2 \pi i\\$ $ – \frac{\pi i}{2}\\$ $2 \pi i$
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
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gate2018ee
0
votes
1
answer
5
GATE20172GA1
Choose the option with words that are not synonyms. Aversion, dislike. Luminous, radiant. Plunder, loot Yielding, resistant.
asked
Feb 27, 2017
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
6
GATE2017212
In the circuit shown, the diodes are ideal, the inductance is small, and $I_{0} \neq 0$. Which one of the following statements is true? $D_{1}$ conducts for greater than $180^{\circ}$ and $D_{2}$ conducts for greater than $180^{\circ}$. $D_{2}$ conducts for more than ... $180^{\circ}$. $D_{1}$ conducts for more than $180^{\circ}$ and $D_{2}$ conducts for $180^{\circ}$.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
7
GATE2014217
The closed loop transfer function of a system is $T(s)=\frac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
unitstepfunction
closedloopsystem
numericalanswers
0
votes
0
answers
8
GATE2015149
A DC motor has the following specifications: $10$ hp, $37.5$ A, $230$ V; flux/pole = $0.01$ Wb, number of poles = $4$, number of conductors = $666$, number of parallel paths = $2$. Armature resistance = $0.267 \Omega$. The armature reaction is negligible ... W. The motor operates from a $230$ V DC supply. If the motor runs at $1000$ rpm, the output torque produced (in Nm) is ________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
armatureresistance
outputtorque
numberofparallelpaths
numericalanswers
0
votes
0
answers
9
GATE2016253
Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0.4$ p.u., $j0.3$ p.u. and $j0.15$ p.u., respectively. If the prefault voltage is $1$ p.u., for a linetoground $(LG)$ fault at the terminals of the generators, the fault current, in p.u., is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
sequenceimpedences
prefaultvoltage
numericalanswers
0
votes
1
answer
10
GATE2019 EE: GA5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
11
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
1
answer
12
GATE2019 EE: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
13
GATE2019 EE: 25
The output voltage of a singlephase fullbridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
14
GATE2019 EE: 45
A singlephase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
15
GATE201264
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$
asked
Mar 24, 2018
in
Numerical Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
16
GATE201265
The data given in the following table summarizes the monthly budget of an average household. ... $\textbf{NOT}$ spent on savings is $10\%$ $14\%$ $81\%$ $86\%$
asked
Mar 24, 2018
in
Numerical Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
17
GATE20121
Two independent random variables $X$ and $Y$ are uniformly distributed in he interval $[1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
asked
Mar 24, 2018
in
new
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
18
GATE201845
The capacitance of an airfilled parallelplate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes $86$ pF. Neglecting the fringing effects, the relative permittivity of the dielectric is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
19
GATE201832
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is $\text{j} 12 \: \Omega$ $\text{j} 12 \: \Omega$ $\text{j} 13 \: \Omega$ $13 \: \Omega$
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
20
GATE201817
Consider a nonsingular $2 \times 2$ square matrix $\textbf{A}$. If $\textit{trace}(\textbf{A})=4$ and $\textit{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textbf{A}$ is _________ (up to $1$ decimal place).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
21
GATE2014346
The magnitude Bode plot of a network is shown in the figure The maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are $30^{\circ}$ and $1.73$ $dB$ $30^{\circ}$ and $477$ $dB$ $+30^{\circ}$ and $4.77$ $dB$ $+30^{\circ}$ and $1.73$ $dB$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
bodeplot
stability
0
votes
0
answers
22
GATE2014312
A single phase induction motor is provided with capacitor and centrifugal switch in series with auxiliary winding. The switch is expected to operate at a speed of $0.7$ $Ns$, but due to malfunctioning the switch fails to operate. The torquespeed characteristic of the motor is represented by
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
torquespeed
characteristic
auxiliarywinding
0
votes
0
answers
23
GATE201423
Minimum of the real valued function $f(x)=(x1)^{2/3}$ occurs at x equal to $\infty$ 0 1 $\infty$
asked
Feb 12, 2017
in
Numerical Methods
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
complexfunctions
minima
maxima
0
votes
0
answers
24
GATE2019 EE: GA7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
ratioproportion
percentage
0
votes
0
answers
25
GATE201820
The series impedance matrix of a short threephase transmission line in phase coordinates is $\begin{bmatrix} Z_s & Z_m & Z_m \\ Z_m & Z_s & Z_m \\ Z_m & Z_m & Z_s \end{bmatrix}$. If the positive sequence impedance is $(1+j \: 10) \Omega$, and the ... $(4+j \: 31) \Omega$, then the imaginary part of $Z_m$ (in $\Omega$) is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
26
GATE2017223
The mean square value of the given periodic waveform $f(t)$ is __________.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
0
answers
27
GATE2017211
A phasecontrolled, singlephase, fullbridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the $DC$ side is $25$ $50$ $100$ $300$
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
28
GATE201322
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter readings is $V=\dfrac{V1}{\sqrt{2}}+\dfrac{V2}{\sqrt{2}}$ $V =V_1 +V_2$ $V =V_1V_2$ $V =V_2  V_1$
asked
Feb 12, 2017
in
Electrical Circuits
by
piyag476
(
1.5k
points)
gate2013ee
voltagesource
lcfilter
0
votes
0
answers
29
GATE2014227
Let $X$ be a random variable with probability density function $f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$ The probability $P(0.5 < X < 5)$ is ______.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
randomvariable
probabilitydensityfunction
numericalanswers
0
votes
0
answers
30
GATE2014147
The reading of the voltmeter $(rms)$ in volts, for the circuit shown in the figure is __________
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
nodalanalysis
voltmeter
numericalanswers
0
votes
1
answer
31
GATE20141GA1
Which of the following options is the closest in meaning to the phrase underlined in the sentence below? It is fascinating to see life forms cope with varied environmental conditions. adopt to adapt to adept in accept with
asked
Feb 12, 2017
in
Verbal Ability
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
grammar
verbal
0
votes
0
answers
32
GATE2015153
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes. Poles at $(2 \pm j3)$, no zeroes. Poles at $(\pm 2 − j3)$, one zero at origin. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$. Poles at $(2 \pm j3)$, zeroes at $(−2 \pm j3)$.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
secondorderrealsystem
poles
zeroes
0
votes
0
answers
33
GATE2016130
Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\frac{2s}{(1+0.5s)(1+0.25s)^{2}}$ $\frac{4(1+0.5s)}{s(1+0.25s)}$ $\frac{2s}{(1+2s)(1+4s)}$ $\frac{4s}{(1+2s)(1+4s)^{2}}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
34
GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. ... $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
35
GATE2019 EE: 27
The closedloop line integral $\underset{\mid z \mid = 5}{\oint} \frac{z^3 + z^2 + 8}{z+2}dz$ evaluated Counterclockwise, is $+8 j \pi$ $8 j \pi$ $4 j \pi$ $+4 j \pi$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
36
GATE201821
The positive, negative and zero sequence impedances of a $125$ MVA, threephase, $15.5$ kV, stargounded, $50$ Hz generator are $j0.1$ pu, $j0.05$ pu and $j0.01$ pu respectively on the machine rating base. The machine is unloaded and working at the rated ... $b$phase to ground fault (in kA) is __________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
37
GATE201823
The waveform of the current drawn by a semiconverter from a sinusoidal AC voltage source is shown in the figure. If $I_0=20$ A, the rms value of fundamental component of the current is ________ A (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
38
GATE20182
In a salient pole synchronous motor, the developed reluctance torque attains the maximum value when the load angle in electrical degrees is $0$ $45$ $60$ $90$
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
39
GATE201327
In the circuit shown below, the knee current of the ideal Zener diode is $10$ $mA$. To maintain $5$ $V$ across $R_L$ minimum value of $R_L$ in $\Omega$ and the minimum power rating of the Zener diode in $mW$ respectively are $125$ and $125$ $125$ and $250$ $250$ and $125$ $250$ and $250$
asked
Feb 12, 2017
in
Electrical Circuits
by
piyag476
(
1.5k
points)
gate2013ee
reversesaturationcurrent
nodalanalysis
0
votes
0
answers
40
GATE2014314
In a long transmission line with $r$,$l$,$g$ and $c$ are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortionless transmission is $rc=lg$ $r=\sqrt{l/c}$ $rg=lc$ $g=\sqrt{c/l}$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
longtransmissionline
distortion
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